Quote:
Originally Posted by petrw1
For example: we get the correct number of digits of 1 at only n=199,981 and many more times as n increases.
However, digits 2  9 match much later ... 2 at 242,463,827; 3 at 371,599,983 (I haven't double checked these, though)

I don't know if this is related but I once read that 1 is also the most common digit in any "random" collection of numbers (e.g. table of physical constants etc)
which has to do with the fact that the range [1,2) is "relatively" larger than [2,3) etc. (I don't remember well how exactly the argument was going  maybe w.r.t. scientific notation (x=m*10^e) or logarithmic scale or....)